   Chapter 11.CR, Problem 6CR Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Review Exercises 5 to 8, state the ratio needed, and use it to find the measure of the indicated angle to the nearest degree. To determine

To find:

The measure of the angle indicated to the nearest degree.

Explanation

Procedure used:

In any right triangle ABC with mA=θ we have the following ratios.

sinθ=OppositeHypotenuse

Calculation:

Given:

Assume that the perpendicular drawn from B and C meet AD at F and E respectively.

Thus,

The above figure is a isosceles trapezium.

Hence, for

a=10 ft

b=26 ft, we have

AF=DE=12b-a

AF=DE=1226-10

AF=DE=1216

AF=DE=8 ft.

Also,

AB=CD=15 ft, and

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